Select the approximate values for x that are solutions to f(x)=0, where f(x)=-6x^2 +7x+8

A. (-0.71,1.88)

B. (-6,7)

C. (-1.17,-1.33)

D. (-0.75,0.88)

Select the approximate values for x that are solutions to f(x)=0, where f(x)=-6x^2 +7x+8

A. (-0.71,1.88)

B. (-6,7)

C. (-1.17,-1.33)

D. (-0.75,0.88)

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Westford, MA

0 = -6 x^2 + 7 x + 8

x = (-7 ± sqrt(7^2 - 4(-6)(8)))/(2(-6))

x = 7/12 ± sqrt(1 + 48 + 4(48))/12

x = 7/12 ± sqrt(1 + 48 (1 + 4))/12

x = 7/12 ± sqrt(1 + 48 (10/2))/12

x = 7/12 ± sqrt(241)/12

x = 0.58333333333333 ± 1.29368122468834

x = 1.88 or -0.71 => answer is A

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